Which of the following is true for continuous functions?

You can draw the graph of a continuous function with one single pen stroke without lifting your pen.

Continuous functions do not have graphs.

You have to lift your pen once to draw the graph.

Which of the following is equal to the slope of the tangent line?

Slope of the line perpendicular to the given tangent line.

Which of the following does NOT define the slope of the tangent line to the curve?

It is not constant and must be determined by a point.

It is derived from the concept of the slope of a second line.

It is equal the derivative of the function.

Which of the following statements is true?

A line tangent to a curve may intersect the given curve at more than one point.

A line cannot be tangent to itself.

Vertical tangent lines do not exist.

Tangent lines drawn at the maximum or minimum points are vertical.

R- Basic Cal

Authored by Princess Araño

Mathematics

11th Grade

CCSS covered

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20 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the left side limit of a function is not equal to the right-side limit, then the limit exists.

True

False

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

There is no difference between the limit of a function and evaluating a function.

True

False

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following functions is continuous?

On what value of x is the function 𝑓(𝑥) = $\frac{1}{x+2}$ discontinuous?

-2

$\frac{1}{2}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following functions is continuous on all values of x?

polynomial functions

rational functions

exponential values

radical functions

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following illustrates removable discontinuity?

What is the derivative of a constant?

constant itself

undefined

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following does NOT belong to the group?

$\frac{\text{d}x}{\text{d}y}$

f(x)

y′

$D_xy$

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R- Basic Cal

If the left side limit of a function is not equal to the right-side limit, then the limit exists.

There is no difference between the limit of a function and evaluating a function.

Which of the following functions is continuous?

On what value of x is the function 𝑓(𝑥) = $\frac{1}{x+2}$ discontinuous?

Which of the following functions is continuous on all values of x?

Which of the following illustrates removable discontinuity?

What is the derivative of a constant?

The slope of a tangent line at (1, 4) is 2. What is the equation of the line?

Which of the following does NOT belong to the group?

What is the derivative of 𝑓(𝑥) = 4𝑥 + 5?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

R- Basic Cal

If the left side limit of a function is not equal to the right-side limit, then the limit exists.

There is no difference between the limit of a function and evaluating a function.

Which of the following functions is continuous?

On what value of x is the function 𝑓(𝑥) = 1x+2\frac{1}{x+2}x+21​ discontinuous?

Which of the following functions is continuous on all values of x?

Which of the following illustrates removable discontinuity?

What is the derivative of a constant?

The slope of a tangent line at (1, 4) is 2. What is the equation of the line?

Which of the following does NOT belong to the group?

What is the derivative of 𝑓(𝑥) = 4𝑥 + 5?

Access all questions and much more by creating a free account

Similar Resources on Wayground

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On what value of x is the function 𝑓(𝑥) = $\frac{1}{x+2}$ discontinuous?